| 一个具有非线性边界条件的抛物系统整体存在性和爆破 |
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| 引用本文： | 徐龙封. 一个具有非线性边界条件的抛物系统整体存在性和爆破[J]. 高校应用数学学报(英文版), 2004, 19(3): 272-278. DOI: 10.1007/s11766-004-0035-8 |
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| 作者姓名： | 徐龙封 |
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| 作者单位： | SchoolofMath.andPhys.AnhuiUniversityofTechnology,Maanshan243002,China. |
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| 摘 要： | In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficient conditions to ensure the global existence and nonexistence of nonnegative classical solution to this problem are given.
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| 关 键 词： | 非线性边界条件 抛物系统 整体存在性 爆破 |
| 收稿时间： | 2004-02-18 |
Global existence and blow up for a parabolic system with nonlinear boundary condition |
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| Xu Longfeng. Global existence and blow up for a parabolic system with nonlinear boundary condition[J]. Applied Mathematics A Journal of Chinese Universities, 2004, 19(3): 272-278. DOI: 10.1007/s11766-004-0035-8 |
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| Authors: | Xu Longfeng |
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| Affiliation: | School of Math.and Phys.Anhui University of Technology, Maanshan 243002,China |
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| Abstract: | In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficient conditions to ensure the global existence and nonexistence of nonnegative classical solution to this problem are given. Supported by the Natural Science Foundation of the Education Department of Anhui Province (2001kj038zc). |
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| Keywords: | 35B40 35K55 |
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